{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 背景\n",
    "由于车辆贷款违约，金融机构蒙受了重大损失。这导致汽车贷款承销收紧，汽车贷款拒绝率提高，直接影响车辆销售。该机构提出了对信用风险模型的更高需求，现在主要先从贷前审批的风控模型开始预测每位违约概率，对于预约概率达到一定值的用户进行风险控制（降低贷款额度、拒绝贷款等）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.读取数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>客户编号</th>\n",
       "      <th>已发货款</th>\n",
       "      <th>资产成本</th>\n",
       "      <th>贷款与资产比列</th>\n",
       "      <th>品牌</th>\n",
       "      <th>骑车销售商</th>\n",
       "      <th>车厂</th>\n",
       "      <th>出生日期</th>\n",
       "      <th>货款日期</th>\n",
       "      <th>地区</th>\n",
       "      <th>对接员工编号</th>\n",
       "      <th>是否填写手机号</th>\n",
       "      <th>受否填写身份证</th>\n",
       "      <th>是否出具驾驶证</th>\n",
       "      <th>是否填写护照</th>\n",
       "      <th>信用评分</th>\n",
       "      <th>主账户贷款次数</th>\n",
       "      <th>主账户有效贷款次数</th>\n",
       "      <th>主账户中尚未还清有效贷款</th>\n",
       "      <th>主账户中已批准的贷款</th>\n",
       "      <th>主账户中已发放贷款</th>\n",
       "      <th>次账户贷款次数</th>\n",
       "      <th>次账户有效贷款次数</th>\n",
       "      <th>次账户中尚未还清有效贷款</th>\n",
       "      <th>次账户中已批准贷款</th>\n",
       "      <th>次账户中已发放贷款</th>\n",
       "      <th>主账户每月还款</th>\n",
       "      <th>次账户没用还款</th>\n",
       "      <th>近六个月新贷款次数</th>\n",
       "      <th>近六个月违约次数</th>\n",
       "      <th>平均贷款期限</th>\n",
       "      <th>第一次贷款距今时间</th>\n",
       "      <th>贷款查询次数</th>\n",
       "      <th>是否违约</th>\n",
       "      <th>贷款与资产比</th>\n",
       "      <th>贷款总次数</th>\n",
       "      <th>主账户无效贷款次数</th>\n",
       "      <th>次账户无效贷款次数</th>\n",
       "      <th>无效贷款总次数</th>\n",
       "      <th>尚未还清有效贷款总额</th>\n",
       "      <th>已批准贷款总额</th>\n",
       "      <th>已发放贷款总额</th>\n",
       "      <th>每月还款总额</th>\n",
       "      <th>贷款与已还贷款比列</th>\n",
       "      <th>主账户还款期数</th>\n",
       "      <th>次账户还款期数</th>\n",
       "      <th>贷款与已批准贷款比列</th>\n",
       "      <th>总贷款次数与总有效贷款次数比</th>\n",
       "      <th>工作类型</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>601758</td>\n",
       "      <td>65532</td>\n",
       "      <td>78990</td>\n",
       "      <td>84.38000</td>\n",
       "      <td>136</td>\n",
       "      <td>20490</td>\n",
       "      <td>45</td>\n",
       "      <td>1981</td>\n",
       "      <td>2018</td>\n",
       "      <td>8</td>\n",
       "      <td>2801</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.82962</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>519488</td>\n",
       "      <td>56759</td>\n",
       "      <td>65325</td>\n",
       "      <td>89.55000</td>\n",
       "      <td>61</td>\n",
       "      <td>22778</td>\n",
       "      <td>86</td>\n",
       "      <td>1967</td>\n",
       "      <td>2018</td>\n",
       "      <td>6</td>\n",
       "      <td>3060</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>300</td>\n",
       "      <td>7</td>\n",
       "      <td>2</td>\n",
       "      <td>2054139</td>\n",
       "      <td>2036500</td>\n",
       "      <td>2036500</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>34455</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>27</td>\n",
       "      <td>64</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.86887</td>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>2054139</td>\n",
       "      <td>2036500</td>\n",
       "      <td>2036500</td>\n",
       "      <td>34455</td>\n",
       "      <td>0.99000</td>\n",
       "      <td>59</td>\n",
       "      <td>0</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.33000</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>447579</td>\n",
       "      <td>58413</td>\n",
       "      <td>67960</td>\n",
       "      <td>89.02000</td>\n",
       "      <td>5</td>\n",
       "      <td>15663</td>\n",
       "      <td>86</td>\n",
       "      <td>1977</td>\n",
       "      <td>2018</td>\n",
       "      <td>9</td>\n",
       "      <td>1032</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.85952</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>648134</td>\n",
       "      <td>72317</td>\n",
       "      <td>99750</td>\n",
       "      <td>73.68000</td>\n",
       "      <td>76</td>\n",
       "      <td>17242</td>\n",
       "      <td>48</td>\n",
       "      <td>1995</td>\n",
       "      <td>2018</td>\n",
       "      <td>8</td>\n",
       "      <td>220</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>763</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>13813</td>\n",
       "      <td>13813</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>25</td>\n",
       "      <td>25</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.72498</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>13813</td>\n",
       "      <td>13813</td>\n",
       "      <td>0</td>\n",
       "      <td>13814.00000</td>\n",
       "      <td>13813</td>\n",
       "      <td>0</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>2.00000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>458210</td>\n",
       "      <td>50078</td>\n",
       "      <td>65450</td>\n",
       "      <td>79.45000</td>\n",
       "      <td>146</td>\n",
       "      <td>14181</td>\n",
       "      <td>45</td>\n",
       "      <td>1974</td>\n",
       "      <td>2018</td>\n",
       "      <td>17</td>\n",
       "      <td>1828</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>379</td>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "      <td>467161</td>\n",
       "      <td>550000</td>\n",
       "      <td>550000</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>12863</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>16</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.76513</td>\n",
       "      <td>16</td>\n",
       "      <td>7</td>\n",
       "      <td>8</td>\n",
       "      <td>15</td>\n",
       "      <td>467161</td>\n",
       "      <td>550000</td>\n",
       "      <td>550000</td>\n",
       "      <td>12863</td>\n",
       "      <td>1.18000</td>\n",
       "      <td>42</td>\n",
       "      <td>0</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.06000</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     客户编号   已发货款   资产成本  贷款与资产比列   品牌  骑车销售商  车厂  出生日期  货款日期  地区  对接员工编号  \\\n",
       "0  601758  65532  78990 84.38000  136  20490  45  1981  2018   8    2801   \n",
       "1  519488  56759  65325 89.55000   61  22778  86  1967  2018   6    3060   \n",
       "2  447579  58413  67960 89.02000    5  15663  86  1977  2018   9    1032   \n",
       "3  648134  72317  99750 73.68000   76  17242  48  1995  2018   8     220   \n",
       "4  458210  50078  65450 79.45000  146  14181  45  1974  2018  17    1828   \n",
       "\n",
       "   是否填写手机号  受否填写身份证  是否出具驾驶证  是否填写护照  信用评分  主账户贷款次数  主账户有效贷款次数  主账户中尚未还清有效贷款  \\\n",
       "0        1        1        0       0     0        0          0             0   \n",
       "1        1        1        0       0   300        7          2       2054139   \n",
       "2        1        1        0       0     0        0          0             0   \n",
       "3        1        1        0       0   763        1          1             0   \n",
       "4        1        1        0       0   379        8          1        467161   \n",
       "\n",
       "   主账户中已批准的贷款  主账户中已发放贷款  次账户贷款次数  次账户有效贷款次数  次账户中尚未还清有效贷款  次账户中已批准贷款  \\\n",
       "0           0          0        0          0             0          0   \n",
       "1     2036500    2036500        0          0             0          0   \n",
       "2           0          0        0          0             0          0   \n",
       "3       13813      13813        0          0             0          0   \n",
       "4      550000     550000        8          0             0          0   \n",
       "\n",
       "   次账户中已发放贷款  主账户每月还款  次账户没用还款  近六个月新贷款次数  近六个月违约次数  平均贷款期限  第一次贷款距今时间  \\\n",
       "0          0        0        0          0         0       0          0   \n",
       "1          0    34455        0          0         0      27         64   \n",
       "2          0        0        0          0         0       0          0   \n",
       "3          0        0        0          0         0      25         25   \n",
       "4          0    12863        0          0         1       4         16   \n",
       "\n",
       "   贷款查询次数  是否违约  贷款与资产比  贷款总次数  主账户无效贷款次数  次账户无效贷款次数  无效贷款总次数  尚未还清有效贷款总额  \\\n",
       "0       0     1 0.82962      0          0          0        0           0   \n",
       "1       0     1 0.86887      7          5          0        5     2054139   \n",
       "2       0     1 0.85952      0          0          0        0           0   \n",
       "3       0     1 0.72498      1          0          0        0           0   \n",
       "4       0     1 0.76513     16          7          8       15      467161   \n",
       "\n",
       "   已批准贷款总额  已发放贷款总额  每月还款总额   贷款与已还贷款比列  主账户还款期数  次账户还款期数  贷款与已批准贷款比列  \\\n",
       "0        0        0       0     1.00000        0        0     1.00000   \n",
       "1  2036500  2036500   34455     0.99000       59        0     1.00000   \n",
       "2        0        0       0     1.00000        0        0     1.00000   \n",
       "3    13813    13813       0 13814.00000    13813        0     1.00000   \n",
       "4   550000   550000   12863     1.18000       42        0     1.00000   \n",
       "\n",
       "   总贷款次数与总有效贷款次数比  工作类型  \n",
       "0         1.00000     0  \n",
       "1         1.33000     1  \n",
       "2         1.00000     1  \n",
       "3         2.00000     0  \n",
       "4         1.06000     1  "
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "pd.set_option(\"display.max_columns\",101)\n",
    "pd.set_option('display.float_format', lambda x: '%.5f' % x) #为了直观的显示数字，不采用科学计数法\n",
    "df = pd.read_csv('train.csv', engine='python')\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.异常值处理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>客户编号</th>\n",
       "      <th>已发货款</th>\n",
       "      <th>资产成本</th>\n",
       "      <th>贷款与资产比列</th>\n",
       "      <th>品牌</th>\n",
       "      <th>骑车销售商</th>\n",
       "      <th>车厂</th>\n",
       "      <th>出生日期</th>\n",
       "      <th>货款日期</th>\n",
       "      <th>地区</th>\n",
       "      <th>对接员工编号</th>\n",
       "      <th>是否填写手机号</th>\n",
       "      <th>受否填写身份证</th>\n",
       "      <th>是否出具驾驶证</th>\n",
       "      <th>是否填写护照</th>\n",
       "      <th>信用评分</th>\n",
       "      <th>主账户贷款次数</th>\n",
       "      <th>主账户有效贷款次数</th>\n",
       "      <th>主账户中尚未还清有效贷款</th>\n",
       "      <th>主账户中已批准的贷款</th>\n",
       "      <th>主账户中已发放贷款</th>\n",
       "      <th>次账户贷款次数</th>\n",
       "      <th>次账户有效贷款次数</th>\n",
       "      <th>次账户中尚未还清有效贷款</th>\n",
       "      <th>次账户中已批准贷款</th>\n",
       "      <th>次账户中已发放贷款</th>\n",
       "      <th>主账户每月还款</th>\n",
       "      <th>次账户没用还款</th>\n",
       "      <th>近六个月新贷款次数</th>\n",
       "      <th>近六个月违约次数</th>\n",
       "      <th>平均贷款期限</th>\n",
       "      <th>第一次贷款距今时间</th>\n",
       "      <th>贷款查询次数</th>\n",
       "      <th>是否违约</th>\n",
       "      <th>贷款与资产比</th>\n",
       "      <th>贷款总次数</th>\n",
       "      <th>主账户无效贷款次数</th>\n",
       "      <th>次账户无效贷款次数</th>\n",
       "      <th>无效贷款总次数</th>\n",
       "      <th>尚未还清有效贷款总额</th>\n",
       "      <th>已批准贷款总额</th>\n",
       "      <th>已发放贷款总额</th>\n",
       "      <th>每月还款总额</th>\n",
       "      <th>贷款与已还贷款比列</th>\n",
       "      <th>主账户还款期数</th>\n",
       "      <th>次账户还款期数</th>\n",
       "      <th>贷款与已批准贷款比列</th>\n",
       "      <th>总贷款次数与总有效贷款次数比</th>\n",
       "      <th>工作类型</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "      <td>199717.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>535690.88666</td>\n",
       "      <td>54256.27228</td>\n",
       "      <td>75823.91114</td>\n",
       "      <td>74.64396</td>\n",
       "      <td>72.69851</td>\n",
       "      <td>19634.04967</td>\n",
       "      <td>69.08577</td>\n",
       "      <td>1983.87692</td>\n",
       "      <td>2018.00000</td>\n",
       "      <td>7.24522</td>\n",
       "      <td>1547.85792</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0.02335</td>\n",
       "      <td>0.00214</td>\n",
       "      <td>291.76254</td>\n",
       "      <td>2.46404</td>\n",
       "      <td>1.04841</td>\n",
       "      <td>168728.60386</td>\n",
       "      <td>222432.31345</td>\n",
       "      <td>222042.04028</td>\n",
       "      <td>0.05952</td>\n",
       "      <td>0.02769</td>\n",
       "      <td>5583.87132</td>\n",
       "      <td>7490.97005</td>\n",
       "      <td>7374.47804</td>\n",
       "      <td>13144.15441</td>\n",
       "      <td>301.37339</td>\n",
       "      <td>0.38507</td>\n",
       "      <td>0.09596</td>\n",
       "      <td>8.05811</td>\n",
       "      <td>13.19088</td>\n",
       "      <td>0.20334</td>\n",
       "      <td>0.17739</td>\n",
       "      <td>0.72357</td>\n",
       "      <td>2.52356</td>\n",
       "      <td>1.41562</td>\n",
       "      <td>0.03184</td>\n",
       "      <td>1.44746</td>\n",
       "      <td>174312.47518</td>\n",
       "      <td>229923.28350</td>\n",
       "      <td>229416.51832</td>\n",
       "      <td>13445.52780</td>\n",
       "      <td>inf</td>\n",
       "      <td>50595.82178</td>\n",
       "      <td>2927.99959</td>\n",
       "      <td>553.57091</td>\n",
       "      <td>1.43891</td>\n",
       "      <td>0.48747</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>68193.41142</td>\n",
       "      <td>12977.65700</td>\n",
       "      <td>18928.93854</td>\n",
       "      <td>11.49048</td>\n",
       "      <td>69.70618</td>\n",
       "      <td>3493.65540</td>\n",
       "      <td>22.12829</td>\n",
       "      <td>9.80556</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>4.48134</td>\n",
       "      <td>974.90148</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.15101</td>\n",
       "      <td>0.04624</td>\n",
       "      <td>339.31759</td>\n",
       "      <td>5.28397</td>\n",
       "      <td>1.95102</td>\n",
       "      <td>963804.32074</td>\n",
       "      <td>2522528.20090</td>\n",
       "      <td>2525814.28133</td>\n",
       "      <td>0.63065</td>\n",
       "      <td>0.31443</td>\n",
       "      <td>168672.81439</td>\n",
       "      <td>181836.21250</td>\n",
       "      <td>181233.18248</td>\n",
       "      <td>152428.89141</td>\n",
       "      <td>13045.31172</td>\n",
       "      <td>0.95734</td>\n",
       "      <td>0.38094</td>\n",
       "      <td>13.86076</td>\n",
       "      <td>21.15686</td>\n",
       "      <td>0.69409</td>\n",
       "      <td>0.38200</td>\n",
       "      <td>0.11361</td>\n",
       "      <td>5.35607</td>\n",
       "      <td>4.03838</td>\n",
       "      <td>0.41280</td>\n",
       "      <td>4.07554</td>\n",
       "      <td>981364.03732</td>\n",
       "      <td>2530977.11559</td>\n",
       "      <td>2534184.81107</td>\n",
       "      <td>153161.77158</td>\n",
       "      <td>nan</td>\n",
       "      <td>2275670.47884</td>\n",
       "      <td>106541.00344</td>\n",
       "      <td>114134.29647</td>\n",
       "      <td>0.79221</td>\n",
       "      <td>0.56191</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>417428.00000</td>\n",
       "      <td>13320.00000</td>\n",
       "      <td>37000.00000</td>\n",
       "      <td>10.03000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>10524.00000</td>\n",
       "      <td>45.00000</td>\n",
       "      <td>1949.00000</td>\n",
       "      <td>2018.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>-6678296.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>-574647.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.09464</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>-6678296.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>-110000.33000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>476762.00000</td>\n",
       "      <td>46977.00000</td>\n",
       "      <td>65714.00000</td>\n",
       "      <td>68.73000</td>\n",
       "      <td>14.00000</td>\n",
       "      <td>16505.00000</td>\n",
       "      <td>48.00000</td>\n",
       "      <td>1977.00000</td>\n",
       "      <td>2018.00000</td>\n",
       "      <td>4.00000</td>\n",
       "      <td>712.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.66443</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>535571.00000</td>\n",
       "      <td>53703.00000</td>\n",
       "      <td>70922.00000</td>\n",
       "      <td>76.67000</td>\n",
       "      <td>61.00000</td>\n",
       "      <td>20333.00000</td>\n",
       "      <td>86.00000</td>\n",
       "      <td>1986.00000</td>\n",
       "      <td>2018.00000</td>\n",
       "      <td>6.00000</td>\n",
       "      <td>1449.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>14.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.74171</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>594571.00000</td>\n",
       "      <td>60247.00000</td>\n",
       "      <td>79159.00000</td>\n",
       "      <td>83.59000</td>\n",
       "      <td>130.00000</td>\n",
       "      <td>23000.00000</td>\n",
       "      <td>86.00000</td>\n",
       "      <td>1992.00000</td>\n",
       "      <td>2018.00000</td>\n",
       "      <td>10.00000</td>\n",
       "      <td>2357.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>680.00000</td>\n",
       "      <td>3.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>35899.00000</td>\n",
       "      <td>64000.00000</td>\n",
       "      <td>62000.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>2000.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>13.00000</td>\n",
       "      <td>20.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.80951</td>\n",
       "      <td>3.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>38189.00000</td>\n",
       "      <td>67206.00000</td>\n",
       "      <td>65085.00000</td>\n",
       "      <td>2094.00000</td>\n",
       "      <td>1.26000</td>\n",
       "      <td>25.00000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.67000</td>\n",
       "      <td>1.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>671084.00000</td>\n",
       "      <td>990572.00000</td>\n",
       "      <td>1628992.00000</td>\n",
       "      <td>95.00000</td>\n",
       "      <td>261.00000</td>\n",
       "      <td>24803.00000</td>\n",
       "      <td>156.00000</td>\n",
       "      <td>2000.00000</td>\n",
       "      <td>2018.00000</td>\n",
       "      <td>22.00000</td>\n",
       "      <td>3795.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>890.00000</td>\n",
       "      <td>453.00000</td>\n",
       "      <td>144.00000</td>\n",
       "      <td>96524920.00000</td>\n",
       "      <td>1000000000.00000</td>\n",
       "      <td>1000000000.00000</td>\n",
       "      <td>52.00000</td>\n",
       "      <td>36.00000</td>\n",
       "      <td>36032852.00000</td>\n",
       "      <td>26888200.00000</td>\n",
       "      <td>26888200.00000</td>\n",
       "      <td>25642806.00000</td>\n",
       "      <td>3246710.00000</td>\n",
       "      <td>35.00000</td>\n",
       "      <td>20.00000</td>\n",
       "      <td>117.00000</td>\n",
       "      <td>117.00000</td>\n",
       "      <td>28.00000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0.93799</td>\n",
       "      <td>453.00000</td>\n",
       "      <td>451.00000</td>\n",
       "      <td>42.00000</td>\n",
       "      <td>451.00000</td>\n",
       "      <td>96524920.00000</td>\n",
       "      <td>1000000000.00000</td>\n",
       "      <td>1000000000.00000</td>\n",
       "      <td>25642806.00000</td>\n",
       "      <td>inf</td>\n",
       "      <td>1000000000.00000</td>\n",
       "      <td>19800000.00000</td>\n",
       "      <td>50000001.00000</td>\n",
       "      <td>18.00000</td>\n",
       "      <td>2.00000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              客户编号         已发货款          资产成本      贷款与资产比列           品牌  \\\n",
       "count 199717.00000 199717.00000  199717.00000 199717.00000 199717.00000   \n",
       "mean  535690.88666  54256.27228   75823.91114     74.64396     72.69851   \n",
       "std    68193.41142  12977.65700   18928.93854     11.49048     69.70618   \n",
       "min   417428.00000  13320.00000   37000.00000     10.03000      1.00000   \n",
       "25%   476762.00000  46977.00000   65714.00000     68.73000     14.00000   \n",
       "50%   535571.00000  53703.00000   70922.00000     76.67000     61.00000   \n",
       "75%   594571.00000  60247.00000   79159.00000     83.59000    130.00000   \n",
       "max   671084.00000 990572.00000 1628992.00000     95.00000    261.00000   \n",
       "\n",
       "             骑车销售商           车厂         出生日期         货款日期           地区  \\\n",
       "count 199717.00000 199717.00000 199717.00000 199717.00000 199717.00000   \n",
       "mean   19634.04967     69.08577   1983.87692   2018.00000      7.24522   \n",
       "std     3493.65540     22.12829      9.80556      0.00000      4.48134   \n",
       "min    10524.00000     45.00000   1949.00000   2018.00000      1.00000   \n",
       "25%    16505.00000     48.00000   1977.00000   2018.00000      4.00000   \n",
       "50%    20333.00000     86.00000   1986.00000   2018.00000      6.00000   \n",
       "75%    23000.00000     86.00000   1992.00000   2018.00000     10.00000   \n",
       "max    24803.00000    156.00000   2000.00000   2018.00000     22.00000   \n",
       "\n",
       "            对接员工编号      是否填写手机号      受否填写身份证      是否出具驾驶证       是否填写护照  \\\n",
       "count 199717.00000 199717.00000 199717.00000 199717.00000 199717.00000   \n",
       "mean    1547.85792      1.00000      1.00000      0.02335      0.00214   \n",
       "std      974.90148      0.00000      0.00000      0.15101      0.04624   \n",
       "min        1.00000      1.00000      1.00000      0.00000      0.00000   \n",
       "25%      712.00000      1.00000      1.00000      0.00000      0.00000   \n",
       "50%     1449.00000      1.00000      1.00000      0.00000      0.00000   \n",
       "75%     2357.00000      1.00000      1.00000      0.00000      0.00000   \n",
       "max     3795.00000      1.00000      1.00000      1.00000      1.00000   \n",
       "\n",
       "              信用评分      主账户贷款次数    主账户有效贷款次数   主账户中尚未还清有效贷款       主账户中已批准的贷款  \\\n",
       "count 199717.00000 199717.00000 199717.00000   199717.00000     199717.00000   \n",
       "mean     291.76254      2.46404      1.04841   168728.60386     222432.31345   \n",
       "std      339.31759      5.28397      1.95102   963804.32074    2522528.20090   \n",
       "min        0.00000      0.00000      0.00000 -6678296.00000          0.00000   \n",
       "25%        0.00000      0.00000      0.00000        0.00000          0.00000   \n",
       "50%       14.00000      1.00000      0.00000        0.00000          0.00000   \n",
       "75%      680.00000      3.00000      1.00000    35899.00000      64000.00000   \n",
       "max      890.00000    453.00000    144.00000 96524920.00000 1000000000.00000   \n",
       "\n",
       "             主账户中已发放贷款      次账户贷款次数    次账户有效贷款次数   次账户中尚未还清有效贷款  \\\n",
       "count     199717.00000 199717.00000 199717.00000   199717.00000   \n",
       "mean      222042.04028      0.05952      0.02769     5583.87132   \n",
       "std      2525814.28133      0.63065      0.31443   168672.81439   \n",
       "min            0.00000      0.00000      0.00000  -574647.00000   \n",
       "25%            0.00000      0.00000      0.00000        0.00000   \n",
       "50%            0.00000      0.00000      0.00000        0.00000   \n",
       "75%        62000.00000      0.00000      0.00000        0.00000   \n",
       "max   1000000000.00000     52.00000     36.00000 36032852.00000   \n",
       "\n",
       "           次账户中已批准贷款      次账户中已发放贷款        主账户每月还款       次账户没用还款    近六个月新贷款次数  \\\n",
       "count   199717.00000   199717.00000   199717.00000  199717.00000 199717.00000   \n",
       "mean      7490.97005     7374.47804    13144.15441     301.37339      0.38507   \n",
       "std     181836.21250   181233.18248   152428.89141   13045.31172      0.95734   \n",
       "min          0.00000        0.00000        0.00000       0.00000      0.00000   \n",
       "25%          0.00000        0.00000        0.00000       0.00000      0.00000   \n",
       "50%          0.00000        0.00000        0.00000       0.00000      0.00000   \n",
       "75%          0.00000        0.00000     2000.00000       0.00000      0.00000   \n",
       "max   26888200.00000 26888200.00000 25642806.00000 3246710.00000     35.00000   \n",
       "\n",
       "          近六个月违约次数       平均贷款期限    第一次贷款距今时间       贷款查询次数         是否违约  \\\n",
       "count 199717.00000 199717.00000 199717.00000 199717.00000 199717.00000   \n",
       "mean       0.09596      8.05811     13.19088      0.20334      0.17739   \n",
       "std        0.38094     13.86076     21.15686      0.69409      0.38200   \n",
       "min        0.00000      0.00000      0.00000      0.00000      0.00000   \n",
       "25%        0.00000      0.00000      0.00000      0.00000      0.00000   \n",
       "50%        0.00000      0.00000      0.00000      0.00000      0.00000   \n",
       "75%        0.00000     13.00000     20.00000      0.00000      0.00000   \n",
       "max       20.00000    117.00000    117.00000     28.00000      1.00000   \n",
       "\n",
       "            贷款与资产比        贷款总次数    主账户无效贷款次数    次账户无效贷款次数      无效贷款总次数  \\\n",
       "count 199717.00000 199717.00000 199717.00000 199717.00000 199717.00000   \n",
       "mean       0.72357      2.52356      1.41562      0.03184      1.44746   \n",
       "std        0.11361      5.35607      4.03838      0.41280      4.07554   \n",
       "min        0.09464      0.00000      0.00000      0.00000      0.00000   \n",
       "25%        0.66443      0.00000      0.00000      0.00000      0.00000   \n",
       "50%        0.74171      1.00000      0.00000      0.00000      0.00000   \n",
       "75%        0.80951      3.00000      1.00000      0.00000      1.00000   \n",
       "max        0.93799    453.00000    451.00000     42.00000    451.00000   \n",
       "\n",
       "          尚未还清有效贷款总额          已批准贷款总额          已发放贷款总额         每月还款总额  \\\n",
       "count   199717.00000     199717.00000     199717.00000   199717.00000   \n",
       "mean    174312.47518     229923.28350     229416.51832    13445.52780   \n",
       "std     981364.03732    2530977.11559    2534184.81107   153161.77158   \n",
       "min   -6678296.00000          0.00000          0.00000        0.00000   \n",
       "25%          0.00000          0.00000          0.00000        0.00000   \n",
       "50%          0.00000          0.00000          0.00000        0.00000   \n",
       "75%      38189.00000      67206.00000      65085.00000     2094.00000   \n",
       "max   96524920.00000 1000000000.00000 1000000000.00000 25642806.00000   \n",
       "\n",
       "          贷款与已还贷款比列          主账户还款期数        次账户还款期数     贷款与已批准贷款比列  \\\n",
       "count  199717.00000     199717.00000   199717.00000   199717.00000   \n",
       "mean            inf      50595.82178     2927.99959      553.57091   \n",
       "std             nan    2275670.47884   106541.00344   114134.29647   \n",
       "min   -110000.33000          0.00000        0.00000        0.00000   \n",
       "25%         1.00000          0.00000        0.00000        1.00000   \n",
       "50%         1.00000          0.00000        0.00000        1.00000   \n",
       "75%         1.26000         25.00000        0.00000        1.00000   \n",
       "max             inf 1000000000.00000 19800000.00000 50000001.00000   \n",
       "\n",
       "       总贷款次数与总有效贷款次数比         工作类型  \n",
       "count    199717.00000 199717.00000  \n",
       "mean          1.43891      0.48747  \n",
       "std           0.79221      0.56191  \n",
       "min           1.00000      0.00000  \n",
       "25%           1.00000      0.00000  \n",
       "50%           1.00000      0.00000  \n",
       "75%           1.67000      1.00000  \n",
       "max          18.00000      2.00000  "
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "如下所示,所有的连续变量都有大量的异常值,例如贷款金额为负数或金额过大等."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Bz0oyt7td8PnAfx1o8F2wnw78B3Aa8AF6a94Luu8C3gusTjI/yWuBjwO/0X2xoao+Te+7h+XsXQ6S+uKMW4dckhcAfw7cCfxNd8sc3Qz7EmAL8Ep6ywxbgTcCn6Q3C35lVY0n+RBwAb3bCief/2nAP9H7//1L3baj6cX0c/Ruy7uze/rF3ez45VX1WJI3An/X3T64X1W1O8k1wAeq6vG18K3Av9BbB7+L3pr6HHp3z7yoqu6ddJpTgNuAsek/a9JevleJjkjdbPyR6Z/5hOOWAN/s7hqRDkuGW5Ia4xq3JDXGcEtSYwy3JDXGcEtSYwy3JDXm/wFcN8HVIxpDOAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AVVU1e4nmj4DzulX+XN5J79LK1UPm+UvAn9K7vfIRav8XTVYCLwNuqard3b5vAR+n9+Hv4DmPS/J1erdxXjnPvKQ5+UUnHdKSHFNV8/6PNrpoP7Gq7j1I0zpgSVIj/qFLsqyqHvpBz0ntMvCS1Cgv0UhSowy8JDXKwEtSowy8JDXKwEtSo/4XdZ6G13451k8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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A67jVhfV99C6N7Ad+g97TKu9Kcla3fCG96N+2wBn8coCqur3vmB8Grqmq2Us0b6N3E3R3Vf3bAtO5kt7172u74zy2W/4w8Kqq2t99cOpz9J5j73cScCLwXuCDVfXl7v7BKuBf+8ato3eT+Pe697gRONz9u5zevYZ3Dvm2Sd/jB510XOvOkr816AM+SZZ1N1aXAY+oqoM/eIRjK8mpVbV/gW050lMww7ZLi2XgJalRfpJVkhpl4CWpUQZekhpl4CWpUQZekhr1f9RTu0qamsVFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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sA14GPKqqfmaJ5/o7up8UXj7vsf39r1uBR9O9FvB4uhdQ31tVf57kd4B/o1sOWr3gqVcDN1bV7y/2Z5HmM+ZaMZJsOBHURcasAs6tqtsndM77jHuuJFnqjpIk966qr43Zt2rcG3+GPLd0Moy5JDXAz2aRpAYYc0lqgDGXpAYYc0lqgDGXpAb8PybmiID5pFL1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1UJIzqurhJI8Bvlz+j6hjZMwlqQFus0hSA4y5JDXAmEtSA4y5JDXAmEtSA/4ftg5pwBdJEsoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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NKF00lM/nOXr0KBHB0aNHyefzvmjIaobD3CwREaxZs4a6ujrWrFnjG2xZTXGYmyWGhoZob2/n6NGjtLe3+8EUVlN8C1wzSuPk9fX1vP3226fWjb13D90WCt8C1yyFiUFe7r3ZQuYwN2PqC4R84ZDVCoe5GUw5lOIhFqsVDnOzCcYeRuGHUlitcZibTTDWE3eP3GqNw9xsgrGrQMe+mtUKh7nZBGMnPH3i02qNw9xsAvfMrVY5zM3MMsBhbobnmVvtc5ibMT57ZfKYuWe1WK1wmJsl8vn8aVMT8/l8lSsySy9VmEvqkfSkpNum2F4v6SVJjyavyypbptncGxwcnPa92UI2Y5hLuh7IRcRVwCWS1pVpdjnQGxHrk9czlS7UbD4sX76curo6li9fXu1SzGYlTc98PfBgsvww0FqmzZXAtZKeTnrxP3UttKQtkvol9R85cuSMCzabS8ePH2d0dJTjx49XuxSzWUkT5kuBQ8nyUeCCMm3+Hrg6Ij4ANAAfm9wgIrZFREtEtDQ2Np5pvWZmVkaaMD8BLE6Wl03xmR9ExOFkuR8oNxRjtuAtXryYuro6Fi9ePHNjswUkTZjvY3xo5QrghTJtHpB0haQcsBH4fmXKM5tfb775JqOjo7z55pvVLsVsVtKE+W7gk5K+BNwA/IOkOya1uR14APge8GREPFLZMs3MbDoz3rQ5It6QtB64BvijiHiNST3viNhPaUaLmZlVQao78EfE64zPaDEzswXGV4CamWWAw9zMLAMc5mZmGeAwNzPLAIe5mVkGOMzNzDLAYW5mlgEOczOzDHCYm5llgMPczCwDHOZmZhngMDczywCHuZlZBjjMzcwywGFuZpYBDnMzswxwmJuZZYDD3MwsAxzmZmYZ4DA3M8sAh7mZWQY4zM3MMsBhbmaWAQ5zM7MMcJibmWWAw9zMLAMc5mZmGeAwNzPLgFRhLqlH0pOSbnsnbczMbG7MGOaSrgdyEXEVcImkdWfSxszM5k59ijbrgQeT5YeBVuC52baRtAXYArB27dozKtbObpfdf9mc7bv5683zftxnfv2ZOdmvnZ3ShPlS4FCyfBR435m0iYhtwDaAlpaWmHWldtaby/CTNOW2CP9ztYUvzZj5CWBxsrxsis+kaWNmZnMkTejuozRsAnAF8MIZtjFbsKbqfbtXbrUizTDLbuBxSauBduBXJN0REbdN0+bKypdqNrcc3FbLZuyZR8QblE5wPgW0RcT3JwV5uTbHKl+qmZlNJU3PnIh4nfHZKmfcxszM5oZPVJqZZYDD3MwsAxzmZmYZoGqcwZd0BHhx3g9sls75wI+rXYRZGT8bEY3lNlQlzM0WMkn9EdFS7TrMZsPDLGZmGeAwNzPLAIe52U/bVu0CzGbLY+ZmZhngnrmZWQY4zM3MMsBhbvNK0rsl/VK166gElTRMs/0qScsk/Zsptl8kqU7Sz0hanfxsls5dxZZlDnObU0mY/eGEVb8G/MKkNhdKek3So5JekPSLkh6WlJN0gaQdU+z7g5L+c4oaPi/p01Nse0rS3ybHnvh6UtJlE9qtkbQ7WS6q9Gii9wA9E9o0J49HRFId8HXgXUCbpI2TjnsO8E3g54Bm4PcpPQvgDknLkzaLJJ0j6SOSuiSdK2mJpJsleR68nSbVXRPNzlREnEh6oJ+OiK8BNwGDyUPAAV4HfhP4DqWHnJwPDANvUXpq1TeAz0+x+33AJ1OUMZTsr1x9Ze+9L+nrlIIYSTngbWAo6YmfjIiQNAyMTvjYAPBFST9JvofzgT9L9nO5pN8Hfht4Lfm+Hkk+vwb4OLACaABuB34X+JfAJmBVsvy7wKPJun+Q1Aq8GhEHU/wMLOMc5jYffgf4qqSXgMeB/wL8M6We7WcYD8SPAP1ATPjcrRHRP7YjSRcB/wd4dsK6vmSxBVgaESOSBhh/Lu1a4C1JvwbkgRMR8dHks+cCgxExNE397cDNwKXAZydvlHQt8HZEfEfSJyn95fEnwLci4lOS/hz4TES8MKF9L7AO+DBwgNJ0yKUR8TlJLZJWAP+P0hO8GoCVyfI+SrfCeHfy2b8FvjpN7XaWcJjbnIuIk8CvStoKfAHYQql3+k+Ueq5jT1Me+/p54CpKPfMNkuqBP4qIb1LqYf9NRPzK5ONI+mFEjCRvhyPi6mT9HwCvRcT/lHQxpaAdczfwl8C3y5SupP6/kvQU8CcRcbukv5H0GPAVSsG9AtictD2R9NifA66R9B1Kwyc7JA1HxIZkf+8HLoqI7uRYeyR9UdK3gdXA1ckvpT+m9JcFwCLg/cBdlAL+POCvy//U7WzjMLd5IelrwG9HxKCkVcDrEfGtZNuqpNnYycS7gM8BnwK+SGloYkxQCvg+ftq7JyyPltlezluUxqknj70fByY+MetdwHsl/SbwJnANcDGlG3J9PCLeTr6XJuBnk/o/U65nnngN+CVJj0w67rnAJyPinyYcd+wX1JKI+Lykq4EPR8QtKb9HOws4zG3OSdoAkAS5gF+kNPQxNjywKPk6DJygND5NRPxY0toJvW0o9YL/OiJ+vcxxnpFUFxGjQP2EoBwbZvkUpWGWNyZ9tDMiyv1yGNvvxymdoPwxcD/wbyNiVNIo8OJYkCd+g9JYOMC/Tk6atgBfS3rm7cm2ekrDPRslXQMcjIgfJjX/c3LcjcDvJW2XAscknaTUI187Vb12dvJsFptTyVS7LsbHmj9D6eRfn6QvJOteBe4DjgL/NyKeTj6bBx6W9IkJu/xXwDNTHO4DSZADbI6Iq5Ohlm3AXcny1UkNaWq/QdJKSkMw/w74UUQMTtN+JaUe+1iY742IjUAf8OkJQQ7jf4UA/CGQS060jpB0siJiN/AEpaGp/0VpDP5blMbwV0m6IM33YWcHh7nNtY9ROtlXL+l+YHVEfDki/hvwM5J2AU2UhlPuAm6W9CFKJ/y+C+wENiW9V4BfpjSl76dExJsTlp+esKmO8fHvwYj4wcSPUerpnib5C+KLwLuT/WrC5iWSvgz8fNL25yX9B+BDwJ8lv1AEtCfDQR8Cdkr6O0m/lezjIHCXpB5KJ3SXAU8n39vLyX4/RqlHPkTpr5ZGSZsphf3vAfdLWlLuZ2FnH9+bxeZFMoNjWUT8+aT1Y1PvDkbEtySdRym4rgf+KiKOSnoXpaGY9ZR6uP9+lse+ndJwSE+Zbb8M/FfgR5M2nQPsj4jrk2B/Eng6In4nCejPAd+jNLvkTeALEfG/J+y3GfiDiPhUmWN+EPgy8ENgR3Jid+yvmC3ABkp/CSyhNKy0G7iV0kygbwM3RcSRZHbO2xHxjdn8PCybHOZWM5JphMsi4tCMjSt/7MsphfuopPpJ4+RmVecwNzPLAI+Zm5llgMPczCwDHOZmZhngMDczy4D/DzPG3mHGHX9VAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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2eqvly6pqJMkVwM+qausE9/9y4F/phf/3quqBJC8BtgD3AFur6r4x45cB76iqTyX5EDBQVdd2+D7eC3yxqh7uf/1R4I309tXvp7f3//SR/w1Jo4y5XtT6q/Ynph75vNudDDzm9ohmC2MuSQ1wz1ySGmDMJakBxlySGmDMJakBxlySGvD/39rF1C1m/kQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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A7wdeCPxdVf1Oki8HpvrXne1ZwHlV9bkkzwOeATy3qr4vyWV0d+t6CXAhcHNVveeEfol63HJkruXk1+imRm6eZ9vh6ZEfohtpXwmMVtVvzVP7ziQfBV5QVb+Q5CuBPcDzgGcDT6yqmwGSfB3wtKra2T/3L5Ncm+RmYH2/j8eS/CZw+ENmNfB1wJvoAv4c4C/6bYeAv6qq7z+q+eRW4LH+4V7g2n79PcBPAS+n+9D5a+B1dH8xSAMzzLWcHKKbq37DnPUHgAcBqupAP03yRuDRJC/va9YCL62qT/aPVwOvSvIi4F+AP6QbQT8J+NCsfe8DvinJB+a85lnAq2ft70s4EsZnVNXP9fP1L6yqn5z1vNOA8T68Z3sKMAJ8ju5OXO8AXkF3i8U/7tdNAy+i+ytBOi6GuZabbVW1Z5GanwX+A/h4Vf1YkmcAr50VvNDNQb+JbhT8cuAtwO/Rja4nZtWtAh6uqm/vpzs+VlX/0Yf7IwBJvh14fV+7FngwyUG6Efn5c3r7DDDe130ncGNVfSrJ0+nm5aEL8O8A/o1uNP5eug+Vs4FP0gW/dFw8m0UrQpIrk5yb5HXAM+mC8kCSn6A7UHnNnKd8M3AXcCZdWO+nG/mvqaqZWXWnz1r+BWCkH/k/Rj/YqaqbgL+nO2j5R8D7q+r9dPe7fXJ/kPWw99Ld3Pz1dB84b+7Xv4gj3yxdDXwVsB/4erp76P4n3RTQx+j+kpCOi2Gu5aToRrtH6U8nvBa4mC4ErwTOoBvFvp5u6uLsWfVr6EbHe4GnAZ9Mcl6/7ycmmX0J0Y8Bb0oyQXcw9Uy6aZj30Y2aSfISupH2Z4DPAqNJXkMX9q8H3tWfqri+r/kU8Lmq+hvgdUkuoPtw+J8kz6mqj9AF/UvoDrgeojuQ+ux+/885fA69NCjPZtGykeQVwG8An5iz6UnAXVV1Rf/Fnz+lG4i8F5ikmwv/Ybopj8uA19DNsf8b3VTL79OdefKjdCPxt9OF8KPAb9EF6+9X1fv6PtYCW4FvpZuiOYPuw+ImuoOVt9MdpH1VVc0k+V66D5S/BZ4O3NfXHD5VcT1wbVW9e9b/9Xfp5v1fSjc6fyZwVVXdm+SXgXdX1fSJ/i71+GOYa8VJsqaqHp1n/WlV9X994D9W/Zu7//LPocOnPCY5g+69f/CUNn4MSVZX1aFh96GVyzCXpAY4Zy5JDTDMJakBhrkkNcAwl6QGGOaS1ID/BxD4Sgb8wEFhAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7di0Aa9eupd1us2XLlj5XJvWmlzBfDTzb3X4R2DBHn68Dl2Xm+4Ah4KOzO0TENRGxKyJ27d2790TrlU6KAwcOsHz5cl555RUAXnnlFZYvX+6piRoYvYT5K8Bp3e01x3jPtzLzu93tXcAPTMVk5o7MHMnMkfXr159QsdLJND09fXjBc926dU6zaKD0EuaPcmRq5ULgyTn63BURF0ZECfg48NjilCedOplJRLBs2TIign7c6kI6Ub2E+X3AP4qI24BPAd+OiJtn9fkccBfwTeCRzHxwccuUTo3nn3+eN998k+eff77fpUgLMu9CZWbuj4hNwAeBWzPzeWaNvDNzN50zWiRJfdDTeeaZuS8z7+0GuVRYM2+0JQ0SL+eXZph5Nos0SAxzaYaIOOq3NCgMc2kGw1yDyjCXZnjzzTeP+i0NCsNckgrAMJekAjDMJakADHNJKgDDXJIKwDCXpAIwzCWpAAxzSSoAw1ySCsAwl6QCMMwlqQAMc0kqAMNckgrAMJekAjDMJakADHNJKgDDXJIKwDCXpAIwzCWpAAxzSSoAw1ySCsAwl6QCMMwlqQAMc0kqAMNckgrAMJekAugpzCNiMiIeiYgb30ofSdLJMW+YR8SVQCkzLwHOjohzT6SPJOnkWd5Dn03Avd3tB4BR4C8W2icirgGuATjzzDNPqFi9vZ1/5/kn7diV36qc8s99/KcfPynH1dtTL2G+Gni2u/0icNGJ9MnMHcAOgJGRkVxwpXrbO5nhFxHH3Jfp/65a+nqZM38FOK27veYY7+mljyTpJOkldB+lM20CcCHw5An2kZasY42+HZVrUPQyzXIf8HBEbAQuBz4dETdn5o3H6XPx4pcqnVwGtwbZvCPzzNxPZ4Hza8BYZj42K8jn6vPy4pcqSTqWXkbmZOY+jpytcsJ9JEknhwuVklQAhrkkFYBhLkkFEP1YwY+IvcBTp/yDpd6cAXyv30VIc3hvZq6fa0dfwlxayiJiV2aO9LsOaSGcZpGkAjDMJakADHPpB+3odwHSQjlnLkkF4MhckgrAMNeSFxE/FBGnzd9z3uO85WO8hc/+QES8q7u9Iro3UI+IZRFR6lddKo6e7s0i9dm/B1ZExJdnta/MzD8AiIg/A56ftf/HgA9l5re6r387IiaA9wNjQAIrgNeBlcCngBeAYeAS4APArUAb2AL8UWbumvkBEfEx4HuZ+Uj39d3AP8nM12bV8hHg28BvA58DfiIiLgC+AfwK8AcL+UKk2QxzLWkRcQlwHnAPcNas3StmbD+fmZtmvfe3gAMzmurAFzLzA8DNEfFJOnf5/Bcz3lMGNgPvBP468K+Bh7pt346IUeC5zPx/3bc8AnwR+EREvB/YNzPII+Iq4Bfp/EVzaUT8KrCh+99yXWZuXcDXIR2TC6BasroPBt8BNICr6IykD1kO/FRm7u32/RNg/6xD/BhwcWY+OeOYQ5nZ7k65fAP4N0ArM7/X3V8C/hAYAtYB3wV+DfiHwO8BH6IzQv9CRLwb2AX82azP/ZvAGZn5RkT8JJ2/jC7NzJ+OiA/SeTLXR4GzgZ2ZefeJfkfSIY7MtZQ9RWfqYyvw83SCNDPzP0XEnXRC8ZAXM/OymW/ujswPbV9N54Hid0fEF4HPA692d98TEb+YmQ9n5nRE/BpwaHS9AvgJ4JfpBPxa4Pe7+14H/kdm/sysz30ImO6+fBT4pW77U8D1wN8Hnqbzl8a/BAxzvWWGuZayHwV+k84I9u/RCdh3RcSH6Tye8Pcj4j9m5k5g1fEOlJl3R8RzwMeA/0pn/vqx7u7PdI/1qcz8Szrz54fCeFVm/tuIuIzO/Pt1Mw67DBjphvdMPwKUgDfoPHXrvwA/Redxil/qtk0BHwae6f3rkI7NMNeSlZlPAX+3O8LeAnwBuDkzH46IL2fmP5jR/cyIeHDWIc6js3g6Uxu4MzMfjIh/1f2cPd2R+wsR8XHgWjp/NlYDL0fEAToj8jNnHes1YKTb75PAvZn5UkS8F3iz2+dJ4BPA/6UzGr+Hzvz5D9NZbP2RhX0r0twMcw2CQ/PcN9CZlngYjpr//mvANzLzYzPfNHOapWs5QGYeCv2hGW1/3m27LyI+ADSBvwW0M/P3IqIBvDMiNmTmnm7fe4D/QOfMmP8F/CrwM3RG3O8D/imdaZpzgFa37T46C6A/TudfBvEWvhfpMMNcg2DfzFF3d/vH6YTpJ+nMhf+3Od63nO6iaUQsA/4d8LcjYh+wHfh1joygiYjVwN+hM9J+jc4ofn1E/Gz3WNcCd0bElXRG1q8BLwFvZOb/jIivR8RZdKZovhsRF2Xmn0TEX9JZ8HwH8Dt0FlJ30Fk8vSgiTsvMQ/P30gnxbBYNlIhYTudZs09n5s93R+VfpnPWSrvbZyXwR923vD8zX4uITwCfphPoW4DR7v6VwBo6pyL+Svfnh+mMoK+n86+AncDVmbk3Iv4xnbnw/w28F3i22+fQqYobgV/KzLtm1Pyf6Zw1cwWd0fkFwKcz85mI2AbclZlTi/g16W3IMNfAiYgfysz9M14PHQryGW3LMvPNWW0r57iY59DpiDm7/8kSESsy8/VT8Vl6+zDMJakAvDeLJBWAYS5JBWCYS1IBGOaSVACGuSQVwP8H72WkMddYzWkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams['font.sans-serif'] = ['SimHei']\n",
    "for i in df.columns:\n",
    "    df[i].plot(kind='box')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.缺失值处理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "客户编号              0\n",
       "已发货款              0\n",
       "资产成本              0\n",
       "贷款与资产比列           0\n",
       "品牌                0\n",
       "骑车销售商             0\n",
       "车厂                0\n",
       "出生日期              0\n",
       "货款日期              0\n",
       "地区                0\n",
       "对接员工编号            0\n",
       "是否填写手机号           0\n",
       "受否填写身份证           0\n",
       "是否出具驾驶证           0\n",
       "是否填写护照            0\n",
       "信用评分              0\n",
       "主账户贷款次数           0\n",
       "主账户有效贷款次数         0\n",
       "主账户中尚未还清有效贷款      0\n",
       "主账户中已批准的贷款        0\n",
       "主账户中已发放贷款         0\n",
       "次账户贷款次数           0\n",
       "次账户有效贷款次数         0\n",
       "次账户中尚未还清有效贷款      0\n",
       "次账户中已批准贷款         0\n",
       "次账户中已发放贷款         0\n",
       "主账户每月还款           0\n",
       "次账户没用还款           0\n",
       "近六个月新贷款次数         0\n",
       "近六个月违约次数          0\n",
       "平均贷款期限            0\n",
       "第一次贷款距今时间         0\n",
       "贷款查询次数            0\n",
       "是否违约              0\n",
       "贷款与资产比            0\n",
       "贷款总次数             0\n",
       "主账户无效贷款次数         0\n",
       "次账户无效贷款次数         0\n",
       "无效贷款总次数           0\n",
       "尚未还清有效贷款总额        0\n",
       "已批准贷款总额           0\n",
       "已发放贷款总额           0\n",
       "每月还款总额            0\n",
       "贷款与已还贷款比列         0\n",
       "主账户还款期数           0\n",
       "次账户还款期数           0\n",
       "贷款与已批准贷款比列        0\n",
       "总贷款次数与总有效贷款次数比    0\n",
       "工作类型              0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.isnull().sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "无缺失值"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4.衍生字段\n",
    "数据中无月收入,汽车售价等字段,就当前数据而言暂未想到如何衍生字段."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.失衡数据判断并处理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    164289\n",
       "1     35428\n",
       "Name: 是否违约, dtype: int64"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['是否违约'].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.17739100827671156"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "35428/df.shape[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "少类占比17.7%,不算作失衡数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['客户编号'].duplicated().sum()     #无重复数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [],
   "source": [
    "#分类数据转换为str类型\n",
    "df['品牌'] = df['品牌'].astype(\"str\")\n",
    "df['骑车销售商'] = df['骑车销售商'].astype(\"str\")\n",
    "df['车厂'] = df['车厂'].astype(\"str\")\n",
    "df['地区'] = df['地区'].astype(\"str\")\n",
    "df['对接员工编号'] = df['对接员工编号'].astype(\"str\")\n",
    "df['工作类型'] = df['工作类型'].astype(\"str\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.drop(['骑车销售商','车厂','客户编号','对接员工编号','品牌'],axis =1)    #避免onehot编码后产生太多特征\n",
    "df_dummy = pd.get_dummies(df)    #ONEHOT编码"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "#区分特征值和目标值\n",
    "df_x = df_dummy.drop('是否违约',axis =1)\n",
    "df_y = df_dummy['是否违约']\n",
    "df_x[np.isinf(df_x)] = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "X_train,X_test,y_train,y_test = train_test_split(df_x, df_y, test_size=0.3,random_state=6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "X_train = StandardScaler().fit_transform(X_train)\n",
    "X_test = StandardScaler().fit_transform(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8187462447426397"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestClassifier\n",
    "model1 = RandomForestClassifier(n_estimators = 100,random_state = 20)\n",
    "model1.fit(X_train,y_train)\n",
    "model1.score(X_test,y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8101508778957207"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import SGDClassifier\n",
    "model2 = SGDClassifier(random_state=20)\n",
    "model2.fit(X_train,y_train)\n",
    "model2.score(X_test,y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\sklearn\\linear_model\\_logistic.py:762: ConvergenceWarning: lbfgs failed to converge (status=1):\n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n",
      "\n",
      "Increase the number of iterations (max_iter) or scale the data as shown in:\n",
      "    https://scikit-learn.org/stable/modules/preprocessing.html\n",
      "Please also refer to the documentation for alternative solver options:\n",
      "    https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n",
      "  n_iter_i = _check_optimize_result(\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.8214667200747714"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "model3 = LogisticRegression(random_state = 20)\n",
    "model3.fit(X_train,y_train)\n",
    "model3.score(X_test,y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8214333400093464"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.ensemble import GradientBoostingClassifier\n",
    "model4 = GradientBoostingClassifier(random_state = 20)\n",
    "model4.fit(X_train,y_train)\n",
    "model4.score(X_test,y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "小结:\n",
    "- 数据中多个字段有异常数据,未能对所有异常数据做有效处理\n",
    "- 特征工程中的衍生字段,特征选取等尚不熟练,未能处理好数据,所以后面只是简单尝试运行了几个模型.\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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